Search a number
-
+
920676848 = 247132127383
BaseRepresentation
bin110110111000000…
…110100111110000
32101011102020012112
4312320012213300
53341143124343
6231205144452
731546424030
oct6670064760
92334366175
10920676848
11432775163
122183bb128
13118985c00
148a3bd8c0
1555c63218
hex36e069f0

920676848 has 120 divisors (see below), whose sum is σ = 2230714368. Its totient is φ = 360412416.

The previous prime is 920676829. The next prime is 920676851. The reversal of 920676848 is 848676029.

920676848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 920676796 and 920676805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2403665 + ... + 2404047.

Almost surely, 2920676848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 920676848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1115357184).

920676848 is an abundant number, since it is smaller than the sum of its proper divisors (1310037520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

920676848 is a wasteful number, since it uses less digits than its factorization.

920676848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 50.

The square root of 920676848 is about 30342.6572336702. The cubic root of 920676848 is about 972.8272803605.

The spelling of 920676848 in words is "nine hundred twenty million, six hundred seventy-six thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 127 169 182 208 254 338 364 383 508 676 728 766 889 1016 1183 1352 1456 1532 1651 1778 2032 2366 2681 2704 3064 3302 3556 4732 4979 5362 6128 6604 7112 9464 9958 10724 11557 13208 14224 18928 19916 21448 21463 23114 26416 34853 39832 42896 42926 46228 48641 64727 69706 79664 85852 92456 97282 129454 139412 150241 171704 184912 194564 258908 278824 300482 340487 343408 389128 453089 517816 557648 600964 632333 680974 778256 906178 1035632 1201928 1264666 1361948 1812356 2403856 2529332 2723896 3624712 4426331 5058664 5447792 7249424 8220329 8852662 10117328 16440658 17705324 32881316 35410648 57542303 65762632 70821296 115084606 131525264 230169212 460338424 920676848